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MATH 409 Proofs from the Notebook Select Term:
The aim of this course is to introduce a selection of proofs of some important theorems. These proofs require moderate background but high ingenuity. Among the topics are: Division algorithm, prime factorization theorem, some primitive results on the distribution of primes. Greatest common divisor. Euler's totient function. Phytagorean triples. A short survey of metric spaces; continuity, compactness, connectedness. Stone- Weierstrass approximation theorem. Geometry of the sphere. Brouwer fixed point theorem. Borsuk's antipodal mapping theorem.
SU Credits : 3.000
ECTS Credit : 6.000
Prerequisite : Undergraduate level MATH 201 Minimum Grade of D AND Undergraduate level MATH 301 Minimum Grade of D
Corequisite : -